The two sets of parametric equations for the rectangular equation are;
- If x=t+6 then y= t²-7t-42.
- If x=7t then y= 49t² - 133t +36.
<h3>What are the parametric equations from the rectangular equation?</h3>
It follows from the task content that the parametric equations can be determined as follows;
By substituting the x= t+6 into the rectangular equation; we have;
y = (t+6-6)²-7(t+6)
y = t²-7t-42.
By substituting the x= 7t into the rectangular equation; we have;
y = (7t-6)² -7(7t)
y = 49t² - 84t +36 - 49t
y = 49t² - 133t +36.
Read more on parametric equations from rectangular equations;
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Answer:
3(x + 12)(x + 2)
Step-by-step explanation:
Given
3x² + 42x + 72 ← factor out 3 from each term
= 3(x² + 14x + 24) ← factor the quadratic
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term.
The factors are + 12 and + 2, since
12 × 2 = 24 and 12 + 2 = 14, thus
x² + 14x + 24 = (x + 12)(x + 2) and
3x² + 42x + 72
= 3(x + 12)(x + 2) ← in factored form
Answer:
45=9 94-
Step-by-step explanation:
The slope of the line is y=-4x + 18 :)
